8 citations · 9 across the 3 of their papers we have counts for
5 papers
Quasi-birth-and-death processes and multivariate orthogonal polynomials
Lidia Fernández, Manuel D. de la Iglesia
The aim of this paper is to study some models of quasi-birth-and-death (QBD) processes arising from the theory of bivariate orthogonal polynomials. First we will see how to perform…
Darboux transformations from the Appell-Lauricella operator
Antonia M. Delgado, Lidia Fernández, Plamen Iliev
We define two isomorphic algebras of differential operators: the first algebra consists of ordinary differential operators and contains the hypergeometric differential operator, wh…
Multivariate Orthogonal Polynomials and Modified Moment Functionals
Antonia M. Delgado, Lidia Fernández, Teresa E. Pérez +1
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study…
Sobolev orthogonal polynomials on the unit ball via outward normal derivatives
Antonia M. Delgado, Lidia Fernández, Doron Lubinsky +2
We analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which involves the outward normal derivatives on the sphere. Using their re…
A semiclassical perspective on multivariate orthogonal polynomials
M. Alvarez de Morales, L. Fernández, T. E. Pérez +1
Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi--orthogonali…